Question

Solve for the value of q

Answer 1

`q=45`

Explanation:

Notice that
`(q+2)^(\circ)` and
`(3q-2)^(\circ)` form a linear pair, that is, they sum to
`180^(\circ)` as follows:

`(q+2)^(\circ)+(3q-2)^(\circ)=180^(\circ)\\(q+2+3q-2)^(\circ)=180^(\circ)\\(4q)^(\circ)=180^(\circ)\\4q=180\\q=(180)/(4)\\q=45`